Pandas Profiling Report

Dataset statistics

Number of variables	11
Number of observations	690
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	59.4 KiB
Average record size in memory	88.2 B

Variable types

NUM	10
BOOL	1

Reproduction

Analysis started	2020-07-14 09:30:50.591758
Analysis finished	2020-07-14 09:32:01.020959
Duration	1 minute and 10.43 seconds
Version	pandas-profiling v2.8.0
Command line	`pandas_profiling --config_file config.yaml [YOUR_FILE.csv]`
Download configuration	config.yaml

Warnings

`Uniformity of Cell Shape` is highly correlated with `Uniformity of Cell Size`	High correlation
`Uniformity of Cell Size` is highly correlated with `Uniformity of Cell Shape`	High correlation
`df_index` has unique values	Unique

df_index
Real number (ℝ_≥0)

UNIQUE

Distinct count	690
Unique (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	348.9869565217391
Minimum	0
Maximum	698
Zeros	1
Zeros (%)	0.1%
Memory size	5.4 KiB

Quantile statistics

Minimum	0
5-th percentile	34.45
Q1	172.25
median	351.5
Q3	523.75
95-th percentile	662.55
Maximum	698
Range	698
Interquartile range (IQR)	351.5

Descriptive statistics

Standard deviation	202.4902975
Coefficient of variation (CV)	0.5802231107
Kurtosis	-1.209901392
Mean	348.9869565
Median Absolute Deviation (MAD)	176
Skewness	-0.00705511275
Sum	240801
Variance	41002.32058

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
698	1	0.1%
227	1	0.1%
235	1	0.1%
234	1	0.1%
233	1	0.1%
232	1	0.1%
231	1	0.1%
230	1	0.1%
229	1	0.1%
228	1	0.1%
Other values (680)	680	98.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	0.1%
1	1	0.1%
2	1	0.1%
3	1	0.1%
4	1	0.1%

Value	Count	Frequency (%)
698	1	0.1%
697	1	0.1%
696	1	0.1%
695	1	0.1%
694	1	0.1%

Clump Thickness
Real number (ℝ_≥0)

Distinct count	10
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	4.428985507246376
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	2
median	4
Q3	6
95-th percentile	10
Maximum	10
Range	9
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	2.817378242
Coefficient of variation (CV)	0.6361227052
Kurtosis	-0.6277754309
Mean	4.428985507
Median Absolute Deviation (MAD)	2
Skewness	0.5893875385
Sum	3056
Variance	7.937620159

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	142	20.6%
5	129	18.7%
3	105	15.2%
4	80	11.6%
10	69	10.0%
2	50	7.2%
8	46	6.7%
6	33	4.8%
7	23	3.3%
9	13	1.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	142	20.6%
2	50	7.2%
3	105	15.2%
4	80	11.6%
5	129	18.7%

Value	Count	Frequency (%)
10	69	10.0%
9	13	1.9%
8	46	6.7%
7	23	3.3%
6	33	4.8%

Uniformity of Cell Size
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	10
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.1333333333333333
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	1
median	1
Q3	5
95-th percentile	10
Maximum	10
Range	9
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	3.042450824
Coefficient of variation (CV)	0.9709949438
Kurtosis	0.1009475704
Mean	3.133333333
Median Absolute Deviation (MAD)	0
Skewness	1.231116626
Sum	2162
Variance	9.256507015

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	378	54.8%
10	65	9.4%
3	51	7.4%
2	45	6.5%
4	40	5.8%
5	30	4.3%
8	29	4.2%
6	27	3.9%
7	19	2.8%
9	6	0.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	378	54.8%
2	45	6.5%
3	51	7.4%
4	40	5.8%
5	30	4.3%

Value	Count	Frequency (%)
10	65	9.4%
9	6	0.9%
8	29	4.2%
7	19	2.8%
6	27	3.9%

Uniformity of Cell Shape
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	10
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.2043478260869565
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	1
median	1
Q3	5
95-th percentile	10
Maximum	10
Range	9
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	2.960844365
Coefficient of variation (CV)	0.924008418
Kurtosis	0.0134964593
Mean	3.204347826
Median Absolute Deviation (MAD)	0
Skewness	1.161617562
Sum	2211
Variance	8.766599356

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	347	50.3%
2	59	8.6%
10	56	8.1%
3	56	8.1%
4	44	6.4%
5	33	4.8%
7	30	4.3%
6	30	4.3%
8	28	4.1%
9	7	1.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	347	50.3%
2	59	8.6%
3	56	8.1%
4	44	6.4%
5	33	4.8%

Value	Count	Frequency (%)
10	56	8.1%
9	7	1.0%
8	28	4.1%
7	30	4.3%
6	30	4.3%

Marginal Adhesion
Real number (ℝ_≥0)

Distinct count	10
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	2.827536231884058
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	1
median	1
Q3	4
95-th percentile	10
Maximum	10
Range	9
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	2.867787365
Coefficient of variation (CV)	1.014235408
Kurtosis	0.9251918611
Mean	2.827536232
Median Absolute Deviation (MAD)	0
Skewness	1.505406523
Sum	1951
Variance	8.224204371

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	400	58.0%
3	58	8.4%
2	56	8.1%
10	55	8.0%
4	33	4.8%
8	25	3.6%
5	23	3.3%
6	22	3.2%
7	13	1.9%
9	5	0.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	400	58.0%
2	56	8.1%
3	58	8.4%
4	33	4.8%
5	23	3.3%

Value	Count	Frequency (%)
10	55	8.0%
9	5	0.7%
8	25	3.6%
7	13	1.9%
6	22	3.2%

Single Epithelial Cell Size
Real number (ℝ_≥0)

Distinct count	10
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.2130434782608694
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	2
median	2
Q3	4
95-th percentile	8
Maximum	10
Range	9
Interquartile range (IQR)	2

Descriptive statistics

Standard deviation	2.200963837
Coefficient of variation (CV)	0.6850090427
Kurtosis	2.206547554
Mean	3.213043478
Median Absolute Deviation (MAD)	0
Skewness	1.716779913
Sum	2217
Variance	4.844241812

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
2	382	55.4%
3	71	10.3%
4	48	7.0%
1	45	6.5%
6	41	5.9%
5	39	5.7%
10	30	4.3%
8	20	2.9%
7	12	1.7%
9	2	0.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	45	6.5%
2	382	55.4%
3	71	10.3%
4	48	7.0%
5	39	5.7%

Value	Count	Frequency (%)
10	30	4.3%
9	2	0.3%
8	20	2.9%
7	12	1.7%
6	41	5.9%

Bare Nuclei
Real number (ℝ_≥0)

Distinct count	10
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.482608695652174
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	1
median	1
Q3	5
95-th percentile	10
Maximum	10
Range	9
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	3.617063918
Coefficient of variation (CV)	1.038607617
Kurtosis	-0.7159815407
Mean	3.482608696
Median Absolute Deviation (MAD)	0
Skewness	1.029145879
Sum	2403
Variance	13.08315139

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	412	59.7%
10	130	18.8%
5	30	4.3%
2	30	4.3%
3	28	4.1%
8	20	2.9%
4	19	2.8%
9	9	1.3%
7	8	1.2%
6	4	0.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	412	59.7%
2	30	4.3%
3	28	4.1%
4	19	2.8%
5	30	4.3%

Value	Count	Frequency (%)
10	130	18.8%
9	9	1.3%
8	20	2.9%
7	8	1.2%
6	4	0.6%

Bland Chromatin
Real number (ℝ_≥0)

Distinct count	10
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.436231884057971
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	2
median	3
Q3	5
95-th percentile	8
Maximum	10
Range	9
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	2.444060424
Coefficient of variation (CV)	0.711261785
Kurtosis	0.1844236965
Mean	3.436231884
Median Absolute Deviation (MAD)	1
Skewness	1.101265768
Sum	2371
Variance	5.973431354

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
2	165	23.9%
3	160	23.2%
1	151	21.9%
7	71	10.3%
4	40	5.8%
5	34	4.9%
8	28	4.1%
10	20	2.9%
9	11	1.6%
6	10	1.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	151	21.9%
2	165	23.9%
3	160	23.2%
4	40	5.8%
5	34	4.9%

Value	Count	Frequency (%)
10	20	2.9%
9	11	1.6%
8	28	4.1%
7	71	10.3%
6	10	1.4%

Normal Nucleoli
Real number (ℝ_≥0)

Distinct count	10
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	2.8855072463768114
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	1
median	1
Q3	4
95-th percentile	10
Maximum	10
Range	9
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	3.067682349
Coefficient of variation (CV)	1.063134516
Kurtosis	0.4199460001
Mean	2.885507246
Median Absolute Deviation (MAD)	0
Skewness	1.405286567
Sum	1991
Variance	9.410674996

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	436	63.2%
10	61	8.8%
3	42	6.1%
2	36	5.2%
8	24	3.5%
6	22	3.2%
5	19	2.8%
4	18	2.6%
9	16	2.3%
7	16	2.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	436	63.2%
2	36	5.2%
3	42	6.1%
4	18	2.6%
5	19	2.8%

Value	Count	Frequency (%)
10	61	8.8%
9	16	2.3%
8	24	3.5%
7	16	2.3%
6	22	3.2%

Mitosesi
Real number (ℝ_≥0)

Distinct count	9
Unique (%)	1.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1.5942028985507246
Minimum	1
Maximum	10
Zeros	0
Zeros (%)	0.0%
Memory size	5.4 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	1
median	1
Q3	1
95-th percentile	5
Maximum	10
Range	9
Interquartile range (IQR)	0

Descriptive statistics

Standard deviation	1.724230466
Coefficient of variation (CV)	1.081562747
Kurtosis	12.4893058
Mean	1.594202899
Median Absolute Deviation (MAD)	0
Skewness	3.541474105
Sum	1100
Variance	2.972970699

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	571	82.8%
2	35	5.1%
3	32	4.6%
10	14	2.0%
4	12	1.7%
7	9	1.3%
8	8	1.2%
5	6	0.9%
6	3	0.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	571	82.8%
2	35	5.1%
3	32	4.6%
4	12	1.7%
5	6	0.9%

Value	Count	Frequency (%)
10	14	2.0%
8	8	1.2%
7	9	1.3%
6	3	0.4%
5	6	0.9%

Class
Boolean

Distinct count	2
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Memory size	5.4 KiB

1	452
0	238

Frequency Table

Value	Count	Frequency (%)
1	452	65.5%
0	238	34.5%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	df_index	Clump Thickness	Uniformity of Cell Size	Uniformity of Cell Shape	Marginal Adhesion	Single Epithelial Cell Size	Bare Nuclei	Bland Chromatin	Normal Nucleoli	Mitosesi	Class
0	0	5	1	1	1	2	1	3	1	1	1
1	1	5	4	4	5	7	10	3	2	1	1
2	2	3	1	1	1	2	2	3	1	1	1
3	3	6	8	8	1	3	4	3	7	1	1
4	4	4	1	1	3	2	1	3	1	1	1
5	5	8	10	10	8	7	10	9	7	1	0
6	6	1	1	1	1	2	10	3	1	1	1
7	7	2	1	2	1	2	1	3	1	1	1
8	8	2	1	1	1	2	1	1	1	5	1
9	9	4	2	1	1	2	1	2	1	1	1

Last rows

	df_index	Clump Thickness	Uniformity of Cell Size	Uniformity of Cell Shape	Marginal Adhesion	Single Epithelial Cell Size	Bare Nuclei	Bland Chromatin	Normal Nucleoli	Mitosesi	Class
680	689	1	1	1	1	2	1	1	1	8	1
681	690	1	1	1	3	2	1	1	1	1	1
682	691	5	10	10	5	4	5	4	4	1	0
683	692	3	1	1	1	2	1	1	1	1	1
684	693	3	1	1	1	2	1	2	1	2	1
685	694	3	1	1	1	3	2	1	1	1	1
686	695	2	1	1	1	2	1	1	1	1	1
687	696	5	10	10	3	7	3	8	10	2	0
688	697	4	8	6	4	3	4	10	6	1	0
689	698	4	8	8	5	4	5	10	4	1	0

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows

	df_index	Clump Thickness	Uniformity of Cell Size	Uniformity of Cell Shape	Marginal Adhesion	Single Epithelial Cell Size	Bare Nuclei	Bland Chromatin	Normal Nucleoli	Mitosesi	Class
0	0	5	1	1	1	2	1	3	1	1	1
1	1	5	4	4	5	7	10	3	2	1	1
2	2	3	1	1	1	2	2	3	1	1	1
3	3	6	8	8	1	3	4	3	7	1	1
4	4	4	1	1	3	2	1	3	1	1	1
5	5	8	10	10	8	7	10	9	7	1	0
6	6	1	1	1	1	2	10	3	1	1	1
7	7	2	1	2	1	2	1	3	1	1	1
8	8	2	1	1	1	2	1	1	1	5	1
9	9	4	2	1	1	2	1	2	1	1	1

	df_index	Clump Thickness	Uniformity of Cell Size	Uniformity of Cell Shape	Marginal Adhesion	Single Epithelial Cell Size	Bare Nuclei	Bland Chromatin	Normal Nucleoli	Mitosesi	Class
680	689	1	1	1	1	2	1	1	1	8	1
681	690	1	1	1	3	2	1	1	1	1	1
682	691	5	10	10	5	4	5	4	4	1	0
683	692	3	1	1	1	2	1	1	1	1	1
684	693	3	1	1	1	2	1	2	1	2	1
685	694	3	1	1	1	3	2	1	1	1	1
686	695	2	1	1	1	2	1	1	1	1	1
687	696	5	10	10	3	7	3	8	10	2	0
688	697	4	8	6	4	3	4	10	6	1	0
689	698	4	8	8	5	4	5	10	4	1	0

	df_index	Clump Thickness	Uniformity of Cell Size	Uniformity of Cell Shape	Marginal Adhesion	Single Epithelial Cell Size	Bare Nuclei	Bland Chromatin	Normal Nucleoli	Mitosesi	Class
0	0	5	1	1	1	2	1	3	1	1	1
1	1	5	4	4	5	7	10	3	2	1	1
2	2	3	1	1	1	2	2	3	1	1	1
3	3	6	8	8	1	3	4	3	7	1	1
4	4	4	1	1	3	2	1	3	1	1	1
5	5	8	10	10	8	7	10	9	7	1	0
6	6	1	1	1	1	2	10	3	1	1	1
7	7	2	1	2	1	2	1	3	1	1	1
8	8	2	1	1	1	2	1	1	1	5	1
9	9	4	2	1	1	2	1	2	1	1	1

	df_index	Clump Thickness	Uniformity of Cell Size	Uniformity of Cell Shape	Marginal Adhesion	Single Epithelial Cell Size	Bare Nuclei	Bland Chromatin	Normal Nucleoli	Mitosesi	Class
680	689	1	1	1	1	2	1	1	1	8	1
681	690	1	1	1	3	2	1	1	1	1	1
682	691	5	10	10	5	4	5	4	4	1	0
683	692	3	1	1	1	2	1	1	1	1	1
684	693	3	1	1	1	2	1	2	1	2	1
685	694	3	1	1	1	3	2	1	1	1	1
686	695	2	1	1	1	2	1	1	1	1	1
687	696	5	10	10	3	7	3	8	10	2	0
688	697	4	8	6	4	3	4	10	6	1	0
689	698	4	8	8	5	4	5	10	4	1	0

	df_index	Clump Thickness	Uniformity of Cell Size	Uniformity of Cell Shape	Marginal Adhesion	Single Epithelial Cell Size	Bare Nuclei	Bland Chromatin	Normal Nucleoli	Mitosesi	Class
0	0	5	1	1	1	2	1	3	1	1	1
1	1	5	4	4	5	7	10	3	2	1	1
2	2	3	1	1	1	2	2	3	1	1	1
3	3	6	8	8	1	3	4	3	7	1	1
4	4	4	1	1	3	2	1	3	1	1	1
5	5	8	10	10	8	7	10	9	7	1	0
6	6	1	1	1	1	2	10	3	1	1	1
7	7	2	1	2	1	2	1	3	1	1	1
8	8	2	1	1	1	2	1	1	1	5	1
9	9	4	2	1	1	2	1	2	1	1	1

	df_index	Clump Thickness	Uniformity of Cell Size	Uniformity of Cell Shape	Marginal Adhesion	Single Epithelial Cell Size	Bare Nuclei	Bland Chromatin	Normal Nucleoli	Mitosesi	Class
680	689	1	1	1	1	2	1	1	1	8	1
681	690	1	1	1	3	2	1	1	1	1	1
682	691	5	10	10	5	4	5	4	4	1	0
683	692	3	1	1	1	2	1	1	1	1	1
684	693	3	1	1	1	2	1	2	1	2	1
685	694	3	1	1	1	3	2	1	1	1	1
686	695	2	1	1	1	2	1	1	1	1	1
687	696	5	10	10	3	7	3	8	10	2	0
688	697	4	8	6	4	3	4	10	6	1	0
689	698	4	8	8	5	4	5	10	4	1	0